An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum
作者： Nithin Govindarajan , Hassan Arbabi , Louis van Blargian , Timothy Matchen , Emma Tegling
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摘要: We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed event-triggered state resets. The considered benchmark problem is pendulum which receives downward kick at certain fixed angles. modeled as hybrid automaton and analyzed from both geometric perspective the formalism Koopman operator theory. A connection drawn between these two interpretations system by establishing link spectral properties in state-space.
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